Question

what will happen to the volume of a cube if its edge(a )doubled (b)halved

Answer 1

a)it will increase by 4 times
b)solution:-
we know that:
volume of cube = a³ 

where, a is the side or length of edge of cube. 

So, here
if the length of edges of cube is halved 

=> side of cube = a / 2

=> volume = (a/2)³ 

= a³ / 2³ 

= a³ / 8 

Hence 
when the edge length is halved then the volume of cube become 1/8 of the volume before.
  

brainliestg pls

Answer 2

a)

let the original edge be x
volume = x³

if the edge is doubled,
then edge is 2x
volume = (2x)³ = 8x³
therefore,

$\frac{ {8x}^{3} }{ {x}^{3} }$

= 8

the volume will increase 8 times.


b)
let the original edge be x
volume = x³

if edge is halved,

$edge \: = \frac{1}{2} x \: or \: \frac{x}{2}$

$volume \: = { (\frac{x}{2}) }^{3}$

$= \frac{ {x}^{3} }{8}$
therefore,

$\frac{ {x}^{3} }{ \frac{ {x}^{3} }{8} }$

$= 8$
therefore, the original volume will 8 times less of the new volume.